
Overview
Background
Dr Barbara Maenhaut's research interests are in combinatorial design theory and graph theory.
She received her PhD from the University of Queensland in 1999. Her current research projects are in the fields of:
- Graph decompositions
- Latin squares and perfect one-factorisations
Availability
- Associate Professor Barbara Maenhaut is:
- Available for supervision
Fields of research
Qualifications
- Bachelor (Honours) of Mathematics, University of Waterloo
- Doctor of Philosophy of Mathematics, The University of Queensland
Research interests
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Graph decompositions
A decomposition of a graph G is a set of subgraphs {H1, H2, ..., Ht} of G such that each edge of G occurs in precisely one subgraph Hi. If the subgraphs are each isomorphic to a graph H, then we say that H divides G. Recently, I have investigated several graph decomposition problems, including common multiples of pairs of graphs and decompositions into 2-regular graphs.
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Latin squares
A Latin square of order n is an n by n array of the symbols 1 to n in which each symbol occurs precisely once in each row and once in each column. I have recently been working with Dr Wanless (Monash) on Latin squares in which the permutation defined by any pair of rows is a full cycle, and on Latin cuboids (the generalisation of Latin squares to 3 dimensions).
Works
Search Professor Barbara Maenhaut’s works on UQ eSpace
1997
Journal Article
Pointwise defining sets and trade cores
Delaney, Cathy, Gray, Brenton D., Gray, Ken, Maenhaut, Barbara M., Sharry, Martin J. and Street, Anne Penfold (1997). Pointwise defining sets and trade cores. Australasian Journal of Combinatorics, 16, 51-76.
Supervision
Availability
- Associate Professor Barbara Maenhaut is:
- Available for supervision
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Supervision history
Completed supervision
-
2024
Doctor Philosophy
Generalisations of Uniform and Perfect 1-Factorisations of Graphs
Principal Advisor
Other advisors: Dr Sara Davies
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2018
Master Philosophy
Uniform cycle decompositions of complete multigraphs
Principal Advisor
Other advisors: Professor Darryn Bryant
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2014
Doctor Philosophy
Perfect 1-Factorisations of Circulant Graphs
Principal Advisor
Other advisors: Professor Darryn Bryant
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2024
Doctor Philosophy
Combinatorial transformations in 3-manifold topology
Associate Advisor
Other advisors: Professor Benjamin Burton
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2014
Doctor Philosophy
Students' attitudes, learning behaviours and achievement in undergraduate mathematics: A longitudinal study
Associate Advisor
Other advisors: Associate Professor Michael Bulmer, Honorary Professor Merrilyn Goos
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2014
Doctor Philosophy
Computational Graph Theory
Associate Advisor
Other advisors: Professor Darryn Bryant, Professor Benjamin Burton
-
2011
Doctor Philosophy
Some results on decompositions of circulant graphs and embeddings of partial cycle systems
Associate Advisor
Other advisors: Professor Darryn Bryant
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2008
Doctor Philosophy
Topics in Graph Decomposition and Related Algebras
Associate Advisor
Other advisors: Professor Darryn Bryant
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2008
Doctor Philosophy
Some results on Steiner Triple Systems and Cycle Decompositions
Associate Advisor
Other advisors: Professor Darryn Bryant
Media
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